9 citations · 26 across the 6 of their papers we have counts for
4 papers · 1 filter
Banach Lie groupoid of partial isometries over restricted Grassmannian
Tomasz Goliński, Grzegorz Jakimowicz, Aneta Sliżewska
The set of partial isometries in a W*-algebra possesses a structure of Banach Lie groupoid. In this paper the differential structure on the set of partial isometries over the restr…
Symmetries of the space of connections on a principal G-bundle and related symplectic structures
Grzegorz Jakimowicz, Anatol Odzijewicz, Aneta Sliżewska
We investigate G-invariant symplectic structures on the cotangent bundle T*P of a principal G-bundle P(M,G) which are canonically related to automorphisms of the tangent bundle TP…
Fibre-wise linear Poisson structures related to W*-algebras
Anatol Odzijewicz, Grzegorz Jakimowicz, Aneta Sliżewska
In this paper we investigate fiber-wise linear complex Banach sub-Poisson structures defined canonically by the structure of a W*-algebra M. In particular we show that these struct…
Algebroids associated to the groupoid of partially invertible elements of a -algebra
Anatol Odzijewicz, Grzegorz Jakimowicz, Aneta Sliżewska
In the paper we study the algebroid A of the groupoid of partially invertible elements over the lattice of orthogonal projections of a -algebra. In particular the complex anal…